In a 4 quart pot, heat oil over medium-high heat.
Sauté the chicken until lightly browned.
Add onions, garlic, cumin, coriander, and salt to the pot.
Cook over medium-high until onions are softened.
Stir in broth, hominy, and chilies. Scrap the bottom of the pan to loosen any brown bits.
Bring to a gentle boil; reduce heat; simmer uncovered, stirring frequently, until chicken is cooked through (about 15 minutes).
Remove from heat.
In a medium bowl, stir together the cream cheese and 1/2 cup hot broth (from the pot) until smooth and creamy.
Stir cream cheese mixture into remaining mixture in the pot.
Over medium heat, slowly stir shredded cheese into chili; stirring constantly until cheese is melted, about 5 minutes.
Serve with lime wedges, tortilla strips, sour cream, etc.